Bounded orbits of certain diagonalizable flows on $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$

preprint2016arXivOpen access

We prove that the set of points that have bounded orbits under certain diagonalizable flows is a hyperplane absolute winning subset of $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$ .

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Bounded orbits of certain diagonalizable flows on $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$

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Bounded orbits of certain diagonalizable flows on SLn(R)/SLn(Z)SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})SLn​(R)/SLn​(Z)

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Bounded orbits of certain diagonalizable flows on $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$